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Finding the Fourth Proportional to 1,952.11, 2,929.20 and 978.22

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Solution

The fourth proportional to 1,952.11, 2,929.20 and 978.22 is: 1,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.11 : 2,929.20 = 978.22 : x
  2. Step 2: Convert to fraction form
    1,952.11/2,929.20 = 978.22/x
  3. Step 3: Cross multiply
    1,952.11x = 2,929.20 × 978.22
  4. Step 4: Simplify right side
    1,952.11x = 2,865,402.02
  5. Step 5: Solve for x
    x = 2,865,402.02/1,952.11
  6. Step 6: Final answer
    x = 1,467.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.